Ethan writes the ratio x/8 = y/16 to help him reduce the size of a two-dimensional shape. If the new value of y is 3 units, what will be the value of x?

A. 6 units
B. 0.5 units
C. 1.5 units
D. 3/16 units

1 answer

To solve for x, we can set up a proportion using the given ratio:

x/8 = 3/16

Cross multiply to solve for x:

16x = 24

Divide by 16 on both sides:

x = 24/16

x = 1.5 units

Therefore, the value of x will be 1.5 units. The correct answer is C. 1.5 units.